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2 // Copyright 2016 Pixar
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5 // with the following modification; you may not use this file except in
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24 #ifndef PXR_BASE_GF_LINE_H
25 #define PXR_BASE_GF_LINE_H
26 
27 /// \file gf/line.h
28 /// \ingroup group_gf_BasicGeometry
29 
30 #include "pxr/pxr.h"
31 #include "pxr/base/gf/vec3d.h"
32 
33 #include <float.h>
34 #include <iosfwd>
35 
36 PXR_NAMESPACE_OPEN_SCOPE
37 
38 /// \class GfLine
39 /// \ingroup group_gf_BasicGeometry
40 ///
41 /// Basic type: 3D line
42 ///
43 /// This class represents a three-dimensional line in space.  Lines are
44 /// constructed from a point, \p p0, and a direction, dir.  The direction is
45 /// normalized in the constructor.
46 ///
47 /// The line is kept in a parametric represention, p = p0 + t * dir.
48 ///
49 class GfLine {
50 
51   public:
52 
53     /// The default constructor leaves line parameters undefined.
GfLine()54     GfLine() {
55     }
56 
57     /// Construct a line from a point and a direction.
GfLine(const GfVec3d & p0,const GfVec3d & dir)58     GfLine(const GfVec3d &p0, const GfVec3d &dir ) {
59         Set( p0, dir );
60     }
61 
Set(const GfVec3d & p0,const GfVec3d & dir)62     double Set(const GfVec3d &p0, const GfVec3d &dir ) {
63         _p0 = p0;
64         _dir = dir;
65         return _dir.Normalize();
66     }
67 
68     /// Return the point on the line at \p ( p0 + t * dir ).
69     /// Remember dir has been normalized so t represents a unit distance.
GetPoint(double t)70     GfVec3d GetPoint( double t ) const { return _p0 + _dir * t; }
71 
72     /// Return the normalized direction of the line.
GetDirection()73     const GfVec3d &GetDirection() const { return _dir; }
74 
75     /// Returns the point on the line that is closest to \p point. If \p t is
76     /// not \c NULL, it will be set to the parametric distance along the line
77     /// of the returned point.
78     GF_API
79     GfVec3d FindClosestPoint(const GfVec3d &point, double *t = NULL) const;
80 
81     /// Component-wise equality test. The starting points and directions,
82     /// must match exactly for lines to be considered equal.
83     bool		operator ==(const GfLine &l) const {
84 	return _p0 == l._p0 &&	_dir  == l._dir;
85     }
86 
87     /// Component-wise inequality test. The starting points, and directions
88     /// must match exactly for lines to be considered equal.
89     bool		operator !=(const GfLine &r) const {
90 	return ! (*this == r);
91     }
92 
93   private:
94     GF_API
95     friend bool GfFindClosestPoints( const GfLine &, const GfLine &,
96                                      GfVec3d *, GfVec3d *,
97                                      double *, double * );
98     // Parametric description:
99     //  l(t) = _p0 + t * _length * _dir;
100     GfVec3d             _p0;
101     GfVec3d             _dir;
102 };
103 
104 /// Computes the closets points between two lines.
105 ///
106 /// The two points are returned in \p p1 and \p p2.  The parametric distance
107 /// of each point on the lines is returned in \p t1 and \p t2.
108 ///
109 /// This returns \c false if the lines were close enough to parallel that no
110 /// points could be computed; in this case, the other return values are
111 /// undefined.
112 GF_API
113 bool GfFindClosestPoints(const GfLine &l1, const GfLine &l2,
114                          GfVec3d *p1 = nullptr, GfVec3d *p2 = nullptr,
115                          double *t1 = nullptr, double *t2 = nullptr);
116 
117 /// Output a GfLine.
118 /// \ingroup group_gf_DebuggingOutput
119 GF_API std::ostream &operator<<(std::ostream&, const GfLine&);
120 
121 PXR_NAMESPACE_CLOSE_SCOPE
122 
123 #endif // PXR_BASE_GF_LINE_H
124